Finding the Third Proportional to 1,289.46 and 1,993.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,289.46 : 1,993.15 = 1,993.15 : x
2. Step 2: Convert to fraction form
   1,289.46/1,993.15 = 1,993.15/x
3. Step 3: Cross multiply
   1,289.46x = 1,993.15 × 1,993.15
4. Step 4: Simplify right side
   1,289.46x = 3,972,640.69
5. Step 5: Solve for x
   x = 3,972,640.69/1,289.46
6. Step 6: Final answer
   x = 3,080.85